A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)
Data(s) |
25/01/2016
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Resumo |
We propose a family of local CSS stabilizer codes as possible candidates for self-correcting quantum memories in 3D. The construction is inspired by the classical Ising model on a Sierpinski carpet fractal, which acts as a classical self-correcting memory. Our models are naturally defined on fractal subsets of a 4D hypercubic lattice with Hausdorff dimension less than 3. Though this does not imply that these models can be realized with local interactions in R3, we also discuss this possibility. The X and Z sectors of the code are dual to one another, and we show that there exists a finite temperature phase transition associated with each of these sectors, providing evidence that the system may robustly store quantum information at finite temperature. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Bristol : IOP Publishing Ltd. |
Relação |
http://dx.doi.org/10.1088/1367-2630/18/1/013050 ESSN:1367-2630 |
Direitos |
CC BY 3.0 https://creativecommons.org/licenses/by/3.0/de/ frei zugänglich |
Fonte |
New Journal Of Physics 18 (2016) |
Palavras-Chave | #quantum memory #topological order #topological codes #ddc:530 |
Tipo |
status-type:publishedVersion doc-type:article doc-type:Text |